02:21: After her arrival on earth, her cousin Superman takes the young Supergirl
to live at the home of the Danvers, her new foster parents.

They live in a large home on a bluff overlooking the ocean.

In a clever bit of casting, the Danvers are played by two Superman alumni:
Dean Cain (who played Superman in "Lois & Clark), and Helen Slater
(who played in the title role in the original 1984 movie, "Supergirl")

This home is located at 33572 Pacific Coast Highway, in Malibu, CA,
which is about six miles west of Point Dume.

It is known as "Cypress Sea Cove", and it is listed as a wedding venue.

[ Warning: This is a private home. Do not trespass on their property,
knock on their door, or do anything to disturb the residents. ]

03:28: After she's grown up, we see Kara Danvers (Supergirl)walking through National City on her way to work.

Like her cousin, Clark, she appears to have chosen a somewhat
nerdish secret identity, complete with glasses. (Although on
this show, it's hard to tell how much of that geekiness is
supposed to be a disguise and how much is just Kara.)

In the screencap above, she's the one wearing the red skirt, and
in real life, she's in downtown Los Angeles, walking west nearthe corner of Figueroa & 5th Streets, at City National Plaza.

Finally, at 03:49, we are shown the "CatCo Worldwide Media" building, where Kara works.

In real life, this is the Citigroup Center, at 444 S. Flower Street, in downtown L.A.

(It was used for this exterior shot, but a different location
was used for the later scenes on the CatCo rooftop.)

In the shot above, the camera is looking east from the corner of 5th & Flower.
(The white building behind it - which for some reason looks pink in this screencap -
is the tallest building on the West Coast, the U.S. Bank Tower.)

19:44: Kara takes her CatCo co-worker ('Winn Schott') to the roof of building,
and reveals to him that she has superpowers, by deliberately
falling off the roof - and then flying back.

This is supposed to be the roof of CatCo - which should make it the
roof of the Citigroup Center building that we saw before - but it's not.
This was actually shot on the roof of the former ARCO tower,
at 1055 W. 7th Street, in downtown Los Angeles.